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Modelling Allee effects in a transgenic mosquito population during range expansion

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dc.contributor.authorWalker, Melodyen
dc.contributor.authorBlackwood, Julie C.en
dc.contributor.authorBrown, Vickien
dc.contributor.authorChilds, Lauren M.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2019-11-13T13:49:27Zen
dc.date.available2019-11-13T13:49:27Zen
dc.date.issued2018-04-27en
dc.description.abstractMosquitoes are vectors for many diseases that cause significant mortality and morbidity. As mosquito populations expand their range, they may undergo mate-finding Allee effects such that their ability to successfully reproduce becomes difficult at low population density. With new technology, creating target specific gene modification may be a viable method for mosquito population control. We develop a mathematical model to investigate the effects of releasing transgenic mosquitoes into newly established, low-density mosquito populations. Our model consists of two life stages (aquatic and adults), which are divided into three genetically distinct groups: heterogeneous and homogeneous transgenic that cause female infertility and a homogeneous wild type. We perform analytical and numerical analyses on the equilibria to determine the level of saturation needed to eliminate mosquitoes in a given area. This model demonstrates the potential for a gene drive system to reduce the spread of invading mosquito populations.en
dc.description.sponsorshipLMC acknowledges the support of the Simons Foundation: Collaboration Grant forMathematicians Award 524390.en
dc.format.extent22 pagesen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationMelody Walker, Julie C. Blackwood, Vicki Brown & Lauren M. Childs (2019) Modelling Allee effects in a transgenic mosquito population during range expansion, Journal of Biological Dynamics, 13:sup1, 2-22, DOI: 10.1080/17513758.2018.1464219en
dc.identifier.doihttps://doi.org/10.1080/17513758.2018.1464219en
dc.identifier.urihttp://hdl.handle.net/10919/95529en
dc.identifier.volume13en
dc.language.isoenen
dc.publisherTaylor & Francisen
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.subjectMosquito dynamicsen
dc.subjectAllee effecten
dc.subjectgene driveen
dc.subjectmathematical modelen
dc.titleModelling Allee effects in a transgenic mosquito population during range expansionen
dc.title.serialJournal of Biological Dynamicsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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Scholarly Works, Mathematics
Destination Area: Global Systems Science (GSS)